FRACTIONS


Multiplying Mixed Numbers

When Mixed Numbers are Multiplied, those Mixed Numbers

must first be changed to Improper Fractions. Then the

Numerators and the Denominators are Multiplied.




To multiply these two mixed numbers, change the mixed

numbers to improper fractions.



2
1

4
x
1
2

5


2
1

4
=
9

4


1
2

5
=
7

5


Next, multiply the numerators and the denominators.


9

4
x
x
7

5
=
=
63

20



Change the resulting improper fraction to a mixed number.


63

20
=
3
13

20


2
1

4
x
1
2

5
=
3
13

20




If the resulting proper fraction can be reduced, then do so.


1
2

3
x
2
3

5


1
2

3
=
5

3


2
3

5
=
13

5


5

3
x
x
13

5
=
=
65

15


65

15
=
4
5

15


4
5

15
=
4
1

3


1
2

3
x
2
3

5
=
4
1

3




RULE

Multiplying Mixed Numbers
Change the Mixed Numbers to Improper Fractions.

Multiply the Numerators to find the New Numerator.

Multiply the Denominators to find the new New Denominator.

Change the resulting Improper Fraction to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.